Question

a tree that is 3 feet tall is growing at a rate of 25% each year. how tall will the tree be in 5 years?

Answer 1

Given data:

The initial height of the tree is h= 3 feet.

The rate at which tree height is increases per year r=25%.

The given time is t=5 years.

The expression for the final height of the tree after t year is,

`H=h(1+(r)/(100))^t`

Substitute the given values in the above expression.

`\begin{gathered} H=3(1+(25)/(100))^5 \\ =3(1.25)^5 \\ =9.155\text{ ft} \end{gathered}`

Thus, the final height of the tree after 5 year is 9.155 ft.